Two-electron perturbation problems and Pollaczek polynomials

1991 ◽  
Vol 24 (21) ◽  
pp. 4989-4998 ◽  
Author(s):  
G I Watson
Keyword(s):  
Pollaczek Polynomials ◽  
Perturbation Problems

Existence of a pair of new recurrence relations for the Meixner-Pollaczek polynomials

2018 ◽  
Vol 11 (3) ◽  
pp. 29-39
Author(s):  
E. I. Jafarov ◽  
A. M. Jafarova ◽  
S. M. Nagiyev
Keyword(s):  
Recurrence Relations ◽  
Pollaczek Polynomials

scholarly journals Robust nonconforming virtual element methods for general fourth-order problems with varying coefficients

2021 ◽  
Author(s):  
Andreas Dedner ◽  
Alice Hodson
Keyword(s):  
Fourth Order ◽  
Perturbation Parameter ◽  
Two Dimensions ◽  
Optimal Error Estimates ◽  
Projection Operators ◽  
Varying Coefficients ◽  
Virtual Element Methods ◽  
Virtual Element ◽  
Perturbation Problems ◽  
Fourth Order Problems

Abstract We present a class of nonconforming virtual element methods for general fourth-order partial differential equations in two dimensions. We develop a generic approach for constructing the necessary projection operators and virtual element spaces. Optimal error estimates in the energy norm are provided for general linear fourth-order problems with varying coefficients. We also discuss fourth-order perturbation problems and present a novel nonconforming scheme which is uniformly convergent with respect to the perturbation parameter without requiring an enlargement of the space. Numerical tests are carried out to verify the theoretical results. We conclude with a brief discussion on how our approach can easily be applied to nonlinear fourth-order problems.

scholarly journals Perturbation problems in homogenization of Hamilton–Jacobi equations

2018 ◽  
Vol 117 ◽  
pp. 221-262
Author(s):  
Pierre Cardaliaguet ◽  
Claude Le Bris ◽  
Panagiotis E. Souganidis
Keyword(s):  
Perturbation Problems ◽  
Jacobi Equations
Sign in / Sign up

Export Citation Format

Share Document